11861360 has 80 divisors (see below), whose sum is σ = 32140800. Its totient is φ = 3986688.

The previous prime is 11861357. The next prime is 11861363. The reversal of 11861360 is 6316811.

It is an interprime number because it is at equal distance from previous prime (11861357) and next prime (11861363).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×11861360² = 281383722099200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11861363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32861 + ... + 33219.

It is an arithmetic number, because the mean of its divisors is an integer number (401760).

Almost surely, 2^11861360 is an apocalyptic number.

11861360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11861360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16070400).

11861360 is an abundant number, since it is smaller than the sum of its proper divisors (20279440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11861360 is a wasteful number, since it uses less digits than its factorization.

11861360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 11861360 is about 3444.0325201717. The cubic root of 11861360 is about 228.0577467354.

It can be divided in two parts, 11861 and 360, that added together give a palindrome (12221).

The spelling of 11861360 in words is "eleven million, eight hundred sixty-one thousand, three hundred sixty".